75426422400 has 1344 divisors, whose sum is σ = 331782336000. Its totient is φ = 16572211200.

The previous prime is 75426422363. The next prime is 75426422417. The reversal of 75426422400 is 422462457.

75426422400 is a `hidden beast` number, since 7 + 5 + 4 + 2 + 642 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 506217526 + ... + 506217674.

Almost surely, 2^75426422400 is an apocalyptic number.

75426422400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75426422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165891168000).

75426422400 is an abundant number, since it is smaller than the sum of its proper divisors (256355913600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75426422400 is a wasteful number, since it uses less digits than its factorization.

75426422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 75426422400 its reverse (422462457), we get a palindrome (75848884857).

The spelling of 75426422400 in words is "seventy-five billion, four hundred twenty-six million, four hundred twenty-two thousand, four hundred".